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arXiv · 1709.09556

Conditional large data scattering results for the Dirac-Klein-Gordon system

Timothy Candy·Sebastian Herr
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Abstract

We obtain conditional results on the global existence and scattering for large solutions of the Dirac-Klein-Gordon system in critical spaces in dimension $1+3$. In particular, for bounded solutions we identify a space-time Lebesgue norm controlling the global behaviour. The proof relies on refined nonlinear estimates involving the controlling norm.

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Timothy Candy, Sebastian Herr. 2017-09-27. Conditional large data scattering results for the Dirac-Klein-Gordon system. https://doi.org/10.1017/fms.2018.8

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